# Probability for Bank Exams

By : Akash Mishra

Updated : Jul 31, 2022, 18:39

A word that we usually use in the place of probability is chance. What are the chances for an event to occur? What are the chances that it won’t? These ‘chances’ are ‘probabilities’ of an event occurring or not. To put it simply, Probability is a measure of how likely a certain event is to occur. We express it in the form of fractions.

You must immensely practice the probability questions for bank exams to be able to gain a competitive edge over other candidates in the bank exams and be able to outrank in the same. Grasp the concepts and fundamentals to be able to prepare a strategy for the exam.

Probability is an important part of the Quantitative Aptitude section in Competitive Banking exams and Government examinations like SBI PO, IBPS Clerk, SBI SO, IBPS RRB, IBPS PO, SBI CLERK, NABARD GRADE A & B, RBI GRADE A & B, and more.

We’re going to provide you with Probability notes for bank exams, Probability online tests, Probability questions and answers, Probability quizzes for bank exams, Probability syllabus for bank exams, Probability formulas for bank exams, Probability tricks for bank exams, and more.

## Probability Topics for Bank Exams

The candidates must have an in-depth knowledge of the probability questions for the bank exams to be able to move ahead in the recruitment process. Bring forth an effective and efficient strategy for covering the entire syllabus in the defined time span and move ahead in the recruitment process.

 TOPIC EXPLANATION EXPERIMENT Any procedure or event that we carry out. It must have a possible set of outcomes. SAMPLE SPACE It is a well-defined set of possible outcomes. OUTCOME The result of the experiment. FAVOURABLE OUTCOMES The outcomes that are favorable to us. PROBABILITY RANGE Between 0 and 1 FORMULA FOR PROBABILITY The favorable number of outcomes/ Total number of outcomes.

## Tips & Tricks to Solve Probability Questions

Now that you’re aware of all the important terms of probability, you can find out the probability of an event occurring rather easily. The tips and tricks to solve probability questions for bank exams will assist you in solving the questions in the requisite time span and with accuracy.

• AWARENESS: An important set of questions in Probability revolve around Cards and rolling a dice. You should be aware of the different suits on cards or the numbers on dice. A usual set consists of 52 cards divided into the Red Suit and Black Suit, with 26 cards, respectively. The Red suite is divided into Hearts and Diamond with 13 cards each. The Black Suite consists of Clubs and Spades with 13 cards each. The cards are further divided into the following categories:
• DIGIT CARDS: The cards from 2 to 10 are called Digit cards. There are 9-digit cards in every suite, and 36 in total.
• HONOR CARDS: King, Queen, Jack and Ace from different suits are called Honor cards. There are 4 of them in each suite and a total of 16 in one set.

Now, let’s talk about Dice. A basic die has 6 numbers on its 6 faces ranging from 1 to 6. Let’s determine the probability of getting the number 5 on a standard dice.

Possible outcomes = 1,2,3,4,5,6

So total possibilities = 6

Favorable outcomes = 1 (As 5 is only one in number)

As we know, Probability = Favourable outcomes/ Total number of outcomes = 1/6.

In case 2 dices are rolled, the possibilities are as follows:

 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6
• COMBINATION CONCEPT

Whenever we solve Probability questions, we use the Combination or Collection concept from Permutation and Combination. As we only need to collect or pick things in Probability, we only use Combination. So if you’re familiar with the concept of Combination, it’ll be easier for you to deal with Probability questions.

### Importance of Probability in Aptitude Section of Quantitative Bank Exams

It is of prime essentiality for the candidates to practice the probability questions for bank exams in order to succeed and outweigh the competition. If you grasp the concepts and learn the tricks, you will be able to solve the questions with ease and accuracy.

• REPETITION OVER THE YEARS: Similar questions have been repeated over the years.
• FAMILIARITY: As you’ve studied probability over the years, you’re surely familiar with the basic concepts of Probability.
• TIME-SAVING: Due to the familiarity factor and simple formulas, you’ll end up saving time.
• HIGH SCORING: As the concept is fairly linear, Probability is a high-scoring topic.

## Most Recommended Books for Probability

It is of prime essentiality for the candidates to pick the most recommended books for probability in order to gain a deeper knowledge of the subjects. The list of the books has been recommended by the experts, these books are the most reliable and comprehensive for surging the level of preparation module.

 QUANTITATIVE APTITUDE DR. R.S AGGARWAL QUANTITATIVE APTITUDE ARUN SHARMA

### Why Probability from BYJU'S Exam Prep?

Looking for a one-stop solution to prepare for Probability? Then choose BYJU'S Exam Prep. At BYJU'S Exam Prep, we believe that learning should be fun, not mundane. From our easy-to-learn videos, quizzes, and online mock test series, we provide our students with detailed solutions and quick hacks. We have an expert faculty who curate fresh questions, based on the latest exam pattern. You can expect quizzes, notes, syllabus, problems and solutions, previous year papers, and tips and tricks amongst other things.

Probability is a fairly easy topic to master if your concepts are clear. If you’re aware of the basic terminologies and practice daily from the previous year question papers, in addition to our quizzes, notes, and tricks, you’ll surely be able to solve all the questions in no time. Don’t forget to check out the books recommended by us and the entire syllabus on our portal.

### Probability Questions For Bank Exams

You must solve the probability question for bank exams in order to get ahead in the competition. Solve the questions and check the solutions in order to upgrade and uplevel your preparation strategy. This will also assist the candidates in catering to their doubts.

QUESTION 1. X and Y have an interview scheduled for Monday. The probability of X clearing the interview is 1/4 and the probability of Y clearing the interview is 1/2. What is the probability that:

1. BOTH A AND B WILL CLEAR THE INTERVIEW
2. EITHER OF THEM WILL CLEAR THE INTERVIEW
3. ONLY Y WILL CLEAR THE INTERVIEW

Sol. Probability of X clearing the interview = 1/4

Probability of Y clearing the interview = 1/2

1. Both will clear the interview = 1/4 x 1/2 = 1/8
2. Either will clear the interview = 1/2 + 1/4 = 3/4
3. Only Y will clear the interview = 1/2 x {1-1/4} = 1/2 x 3/4 = 3/8

QUESTION 2. There are 16 Girls and 12 Boys in a classroom. The teacher randomly calls out one of them. What is the probability that the student called out is a girl?

SOL. Total number of students = 28

Girls in the classroom = 16

P(E) = 16/28 = 4/7

QUESTION 3. A drawer contains 4 Red, 7 Black, and 3 White pencils. If the pencils are taken out randomly, then what is the probability that it is a White pencil?

SOL. Total number of Pencils = 4+7+3 = 14

Number of White Pencils = 3

P(E) = 3/14

QUESTION 4. Kartik forgot the last digit of his 11 digits mobile number. If he randomly dials the final 2 digits, after dialing the first 9 digits correctly, then what are the chances of dialing the correct number?

SOL. If the last 2 digits are dialed randomly, there are 10 digits that could be selected in 10 ways.

So required probability = (1/100)

QUESTION 5. Shreya throws the dice twice. What is the probability of her getting a total sum of 7 from both throws?

SOL. Total number of outcomes = 6x6 = 216

Number of possible outcomes = (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6

Probability = 6/36

= 1/6

You must solve the probability question for bank exams in order to get ahead in the competition. Solve the questions and check the solutions in order to upgrade and uplevel your preparation strategy. This will also assist the candidates in catering to their doubts.

QUESTION 1. A coin is tossed thrice. What is the probability that at least one head is obtained?

SOL. Total outcomes = {HHH, HTH, THH, HHT, TTH, HTT, THT, TTT} = 8

Favorable outcomes = 7

So probability = 7/8

QUESTION 2. A card is drawn from a new pack of cards. What is the probability of getting a numbered card?

SOL. Total number of cards = 52

Numbered cards = 9 of each suit = 4x9 = 36

Probability = 36/52 = 9/13

QUESTION 3. Is it important to study Permutation & Combination before studying Probability?

SOL. As Combination is related to Probability, it’d be helpful to have basic knowledge of Permutation & Combination before starting Probability.

QUESTION 4. How do I prepare for Probability after studying theory?

SOL. Just practice some questions every day.

## Probability For Bank Exams FAQs

Q1 What is the importance of probability questions for bank exams?

Ans: It is of prime importance for the candidates to grasp the essential concepts of the probability for bank exams in order to gain a competitive edge. Detailed knowledge has been put forth to assist the candidates in their way to preparation strategy. The questions for the probability section get repeated frequently. It is high scoring if you are acquainted with the basic concepts.

Q2 What are the probability topics for bank exams?
Ans: You must have complete knowledge of the probability topics for the bank exams in order to gain insights into the competition. The essential topics are experiment, sample space, outcome, favourable outcomes, probability range, formula for probability.

Q3 What are the tips and tricks to solve the probability questions?

Ans: The candidates must be acquainted with the tips and tricks to solve the questions in the determined time span to be able to move ahead in the selection process. You must have detailed knowledge of the different suits on cards or the numbers on dice. You must have the cognizance of the digit cards, honor cards etc.

Q4 What are the most recommended books for probability?

Ans: It is highly essential for the candidates to pick the comprehensive books for the preparation of the exam. Pick the Quantitative Aptitude books by Dr. R.S Aggarwal and Arun Sharma. The most comprehensive books will assist the candidates in moving ahead in the preparation strategy. GradeStack Learning Pvt. Ltd.Windsor IT Park, Tower - A, 2nd Floor, Sector 125, Noida, Uttar Pradesh 201303 help@byjusexamprep.com